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Finding the Third Proportional to 285,222 and 426,942

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Solution

The third proportional to 285,222 and 426,942 is: 639,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,222 : 426,942 = 426,942 : x
  2. Step 2: Convert to fraction form
    285,222/426,942 = 426,942/x
  3. Step 3: Cross multiply
    285,222x = 426,942 × 426,942
  4. Step 4: Simplify right side
    285,222x = 182,279,471,364
  5. Step 5: Solve for x
    x = 182,279,471,364/285,222
  6. Step 6: Final answer
    x = 639,079.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.